Question

The table below represents an exponential function. what is the missing value?

Answer 1

Answer:

The missing value is 128

Step-by-step explanation:

we know that

The equation of the exponential function is of the form

$f(x)=a(b^{x})$

where

a is the initial value (value of the function when the value of x is equal to zero)

b is the base

r is the rate

b=(1+r)

In this problem , looking at the table, we have that  the number of bacteria is doubled every second

so

$r=100\%=100/100=1\\b=1+r=1+1=2\\a=8$

substitute in the formula

$f(x)=8(2^{x})$

where

f(x) is the number of bacteria

x is the time in seconds

For x=4 sec

substitute

$f(4)=8(2^{4})$

$f(4)=128\ bacteria$